Accession Number : AD0749076

Title :   Nondifferentiable Dynamical Systems.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Owen,Robert Stephen

Report Date : JUN 1972

Pagination or Media Count : 37

Abstract : The study of dynamical systems originated as a topological analysis method in the field of stability theory concerning autonomous ordinary differential equations. The dynamical system is not restricted by definition to differential systems, and the results presented here were obtained without hypothesizing differentiability of the dynamical system. The most significant results were that the level surfaces of Lyapunov function for a compact asymptotically stable set in (R sup n) are orientable (n-1)-dimensional generalized closed manifolds, that every asymptotically stable periodic trajectory in R sup 3 is tamely imbedded in R sub 3, and that a periodic dynamical system on a compact 2-manifold is equivalent to an (S sup 1) action. (Author)

Descriptors :   (*ALGEBRAIC TOPOLOGY, MAPPING(TRANSFORMATIONS)), DIFFERENTIAL EQUATIONS, SET THEORY, ASYMPTOTIC SERIES, FUNCTIONS(MATHEMATICS), THEOREMS, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE